Convergence rates and \(W^{1,p}\) estimates in homogenization theory of Stokes systems in Lipschitz domains
From MaRDI portal
Publication:525974
DOI10.1016/j.jde.2017.02.040zbMath1378.35026arXiv1609.00122OpenAlexW2962692795MaRDI QIDQ525974
Publication date: 8 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00122
Free boundary problems for PDEs (35R35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Large-scale regularity of nearly incompressible elasticity in stochastic homogenization ⋮ Periodic homogenization of Green's functions for Stokes systems ⋮ Optimal Boundary Estimates for Stokes Systems in Homogenization Theory ⋮ Uniform boundary estimates in homogenization of higher-order elliptic systems ⋮ Periodic homogenization of elliptic systems with stratified structure ⋮ Homogenization of some degenerate pseudoparabolic variational inequalities
Cites Work
- Uniform regularity estimates in homogenization theory of elliptic systems with lower order terms on the Neumann boundary problem
- Boundary estimates in elliptic homogenization
- Uniform \(W^{1,p}\) estimates for systems of linear elasticity in a periodic medium
- Convergence rates in \(L ^{2}\) for elliptic homogenization problems
- Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
- On operator estimates for some problems in homogenization theory
- Solutions of the divergence operator on John domains
- On the Stokes problem in Lipschitz domains
- Lipschitz maps and nets in Euclidean space
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- The Dirichlet problem for the Stokes system on Lipschitz domains
- The \(L^p\) regularity problem for the Stokes system on Lipschitz domains
- Hölder continuity of solutions of elliptic systems
- Convergence rates in homogenization of Stokes systems
- Quantitative
- Lipschitz Estimates in Almost-Periodic Homogenization
- Convergence Rates for General Elliptic Homogenization Problems in Lipschitz Domains
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- Convergence rates in periodic homogenization of systems of elasticity
- Homogenization of Stokes Systems and Uniform Regularity Estimates
- W$^{1,p}$ estimates for elliptic homogenization problems in nonsmooth domains
- Compactness methods in the theory of homogenization
- A Note on the Dirichlet Problem for the Stokes System in Lipschitz Domains
- Error estimate and unfolding for periodic homogenization
- Second order periodic differential operators. Threshold properties and homogenization
- Estimates for the Stokes operator in Lipschitz domains
- HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
- Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
- Periodic Homogenization of Green and Neumann Functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
